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Simplifying 21x + -8 + -14x + 2 = 22x + -4 + -15x + 13 Reorder the terms: -8 + 2 + 21x + -14x = 22x + -4 + -15x + 13 Combine like terms: -8 + 2 = -6 -6 + 21x + -14x = 22x + -4 + -15x + 13 Combine like terms: 21x + -14x = 7x -6 + 7x = 22x + -4 + -15x + 13 Reorder the terms: -6 + 7x = -4 + 13 + 22x + -15x Combine like terms: -4 + 13 = 9 -6 + 7x = 9 + 22x + -15x Combine like terms: 22x + -15x = 7x -6 + 7x = 9 + 7x Add '-7x' to each side of the equation. -6 + 7x + -7x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 0 = 9 + 7x + -7x -6 = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 = 9 + 0 -6 = 9 Solving -6 = 9 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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